Newton's law of cooling and your body

1. The problem statement, all variables and given/known data
a body has temperature 27C at twelve oclock. The room temperature is constant at 16C. Two hours later the body was found to have a temperature of 24C. The temperature of a normal human body is 37C.Using Newton's law of cooling estimate the time of death.

2. Relevant equations
Newton's law of cooling says that the rate of heat loss from a body is proportional to the temperature difference between it and the surroundings.
dQ/dt=hA(Te-Tb)
where Te is the temp of the environment 16C=289K and Tb is the temp of the body 24C=297K. I am not sure what the heat transfer coefficient h is or how to determine this. Also not sure how to use the fact that normal body temperature is 37C

Could someone please give a bit of a start in the right direction
Thank you